%0 Journal Article
%T An improved pseudospectral approximation of generalized Burger-Huxley and Fitzhugh-Nagumo equations
%J Computational Methods for Differential Equations
%I University of Tabriz
%Z 2345-3982
%A Mittal, Avinash
%A Balyan, Lokendra
%A Tiger, Dheeraj
%D 2018
%\ 07/01/2018
%V 6
%N 3
%P 280-294
%! An improved pseudospectral approximation of generalized Burger-Huxley and Fitzhugh-Nagumo equations
%K Generalized Burger-Huxley equation
%K Fitzhugh-Nagumo(FN) equation
%K Pseudospectral method
%K Chebyshev-Gauss-Lobbato points
%R
%X In this research paper, an improved Chebyshev-Gauss-Lobatto pseudospectral approximation of nonlinear Burger-Huxley and Fitzhugh- Nagumo equations have been presented. The method employs chebyshev Gauss-Labatto points in time and space to obtain spectral accuracy. The mapping has introduced and transformed the initial-boundary value non-homogeneous problem to homogeneous problem. The main problem is reduced to a system of algebraic equations. This system is solved by standard numerical method. Numerical results for various cases of Generalized Burger-Huxley equation and other example of Fitzhugh- Nagumo equation are presented to demonstrate the performance and effectiveness of the method. Finaly, a comparison of our method with existing other methods available in literature are also given.
%U https://cmde.tabrizu.ac.ir/article_7450_4d85f768649696abb38653f7e98f0fff.pdf